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25330412052 = 223211101962773
BaseRepresentation
bin10111100101110011…
…110110101000010100
32102101022122020221100
4113211303312220110
5403334041141202
615345302350100
71554465643551
oct274563665024
972338566840
1025330412052
11a8193a2540
124aab12b330
132508b219ca
1413241d5a28
159d3bdc41c
hex5e5cf6a14

25330412052 has 72 divisors (see below), whose sum is σ = 69920192160. Its totient is φ = 7668227520.

The previous prime is 25330412027. The next prime is 25330412053. The reversal of 25330412052 is 25021403352.

It is a happy number.

25330412052 is a `hidden beast` number, since 2 + 533 + 0 + 4 + 120 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25330412053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372138 + ... + 434910.

It is an arithmetic number, because the mean of its divisors is an integer number (971113780).

Almost surely, 225330412052 is an apocalyptic number.

25330412052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25330412052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34960096080).

25330412052 is an abundant number, since it is smaller than the sum of its proper divisors (44589780108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25330412052 is a wasteful number, since it uses less digits than its factorization.

25330412052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63813 (or 63808 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

It can be divided in two parts, 253304 and 12052, that added together give a triangular number (265356 = T728).

The spelling of 25330412052 in words is "twenty-five billion, three hundred thirty million, four hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1019 2038 3057 4076 6114 9171 11209 12228 18342 22418 33627 36684 44836 62773 67254 100881 125546 134508 188319 201762 251092 376638 403524 564957 690503 753276 1129914 1381006 2071509 2259828 2762012 4143018 6214527 8286036 12429054 24858108 63965687 127931374 191897061 255862748 383794122 575691183 703622557 767588244 1151382366 1407245114 2110867671 2302764732 2814490228 4221735342 6332603013 8443470684 12665206026 25330412052